Cuvier himself defined Pachydermata as "animals with hoofs, nonruminants", whereas Storr had described it as "mammals with hoofs with more than two toes". Cuvier added horses to the order.[2] One naturalist has speculated that -

Baron Cuvier, it is probable, was led to arrange the horse genus among the Pachydermata, less on account of the thickness and tenacity of the skin, than on the slight departure from a true monodactylous character, which every member of this family exhibits in having vestiges of two additional toes under the skin.[3]

Although the former order of Pachydermata is often described as an artificial grouping of unrelated mammals, it was recognised by notable zoologists, including Charles Darwin, as a grade of hoofed mammals to the exception of other ungulates; and anatomical characters support the affinities of "pachyderm" mammals to each other and to other ungulates.